Equation 2 · From Origins to Frontier: A History of AI Memory Systems and the Bandwidth Wall
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
Symbol t
t is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
with t measured in years. At t = 20 that factor works out to (3.0/1.6)^{10} 540 : a roughly five-hundredfold widening of the gap in raw compounding terms, and that is before accounting for the interconnect term separately. No single memory technology closes a gap shaped like that on its own. Every technology discussed below narrows it at one particular tier, for one particular class of workload, for a while — which is exactly why the industry kept needing a new one.
Sources cited in the article section
- [5] JESD79: Double Data Rate (DDR) SDRAM Specification ↗
- [6] JESD212: Graphics Double Data Rate (GDDR5) SGRAM Standard ↗
- [7] Dissecting GPU Memory Hierarchy through Microbenchmarking ↗
- [13] AI and Memory Wall ↗
These citations give research context. Read each source to check which claims it supports.
Return to From Origins to Frontier: A History of AI Memory Systems and the Bandwidth Wall